Solve (3/2*4)(1/6:1/2)5/10

$$( \frac { 3 } { 2 } \cdot 4 ) ( \frac { 1 } { 6 } : \frac { 1 } { 2 } ) \frac { 5 } { 10 }$$

Evaluate

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Solution Steps

Express \frac{3}{2}\times 4 as a single fraction.

$$\frac{3\times 4}{2}\times \frac{\frac{1}{6}}{\frac{1}{2}}\times \frac{5}{10}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{2}\times \frac{\frac{1}{6}}{\frac{1}{2}}\times \frac{5}{10}$$

Divide 12 by 2 to get 6.

$$6\times \frac{\frac{1}{6}}{\frac{1}{2}}\times \frac{5}{10}$$

Divide \frac{1}{6} by \frac{1}{2} by multiplying \frac{1}{6} by the reciprocal of \frac{1}{2}.

$$6\times \frac{1}{6}\times 2\times \frac{5}{10}$$

Multiply \frac{1}{6} and 2 to get \frac{2}{6}.

$$6\times \frac{2}{6}\times \frac{5}{10}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$6\times \frac{1}{3}\times \frac{5}{10}$$

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

$$\frac{6}{3}\times \frac{5}{10}$$

Divide 6 by 3 to get 2.

$$2\times \frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$2\times \frac{1}{2}$$

Cancel out 2 and 2.

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Factor

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